%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO261^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:12:19 AM UTC 2026 % Result : Theorem 0.16s 0.36s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYO261^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 19:01:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.33 %----Proving TH0 % 0.16/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.16/0.36 % SZS status Theorem % 0.16/0.36 % SZS output start Proof % 0.16/0.36 ( % 0.16/0.36 (declare-sort $$unsorted 0) % 0.16/0.36 (declare-const tptp.cO $$unsorted) % 0.16/0.36 (declare-const tptp.c1_plus (-> $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.16/0.36 (declare-const tptp.n $$unsorted) % 0.16/0.36 (define @t1 () (_ tptp.cP tptp.n)) % 0.16/0.36 (define @t2 () (@var "Xx" $$unsorted)) % 0.16/0.36 (define @t3 () (_ tptp.c1_plus @t2)) % 0.16/0.36 (define @t4 () (_ tptp.cP @t3)) % 0.16/0.36 (define @t5 () (_ tptp.cP @t2)) % 0.16/0.36 (define @t6 () (@list @t2)) % 0.16/0.36 (define @t7 () (forall @t6 (=> @t5 @t4))) % 0.16/0.36 (define @t8 () (_ tptp.cP tptp.cO)) % 0.16/0.36 (define @t9 () (@var "A" (-> $$unsorted Bool))) % 0.16/0.36 (define @t10 () (_ @t9 tptp.n)) % 0.16/0.36 (define @t11 () (_ @t9 @t3)) % 0.16/0.36 (define @t12 () (_ @t9 @t2)) % 0.16/0.36 (define @t13 () (forall @t6 (=> @t12 @t11))) % 0.16/0.36 (define @t14 () (_ @t9 tptp.cO)) % 0.16/0.36 (define @t15 () (and @t14 @t13)) % 0.16/0.36 (define @t16 () (=> @t15 @t10)) % 0.16/0.36 (define @t17 () (@list @t9)) % 0.16/0.36 (define @t18 () (forall @t17 @t16)) % 0.16/0.36 (define @t19 () (and @t18 @t8 @t7)) % 0.16/0.36 (define @t20 () (=> @t19 @t1)) % 0.16/0.36 (define @t21 () (not @t20)) % 0.16/0.36 (define @t22 () (tptp.cP tptp.n)) % 0.16/0.36 (define @t23 () (tptp.c1_plus @t2)) % 0.16/0.36 (define @t24 () (tptp.cP @t23)) % 0.16/0.36 (define @t25 () (tptp.cP @t2)) % 0.16/0.36 (define @t26 () (forall @t6 (or (not @t25) @t24))) % 0.16/0.36 (define @t27 () (tptp.cP tptp.cO)) % 0.16/0.36 (define @t28 () (_ @t9 tptp.n)) % 0.16/0.36 (define @t29 () (_ @t9 @t23)) % 0.16/0.36 (define @t30 () (_ @t9 @t2)) % 0.16/0.36 (define @t31 () (forall @t6 (or (not @t30) @t29))) % 0.16/0.36 (define @t32 () (not @t31)) % 0.16/0.36 (define @t33 () (_ @t9 tptp.cO)) % 0.16/0.36 (define @t34 () (forall @t17 (or (not @t33) @t32 @t28))) % 0.16/0.36 (define @t35 () (and @t34 @t8 @t26)) % 0.16/0.36 (define @t36 () (=> @t35 @t1)) % 0.16/0.36 (define @t37 () (not @t5)) % 0.16/0.36 (define @t38 () (or @t37 @t4)) % 0.16/0.36 (define @t39 () (not @t14)) % 0.16/0.36 (define @t40 () (or @t39 @t32 @t10)) % 0.16/0.36 (define @t41 () (and @t14 @t31)) % 0.16/0.36 (define @t42 () (not @t12)) % 0.16/0.36 (define @t43 () (or @t42 @t11)) % 0.16/0.36 (define @t44 () (not @t26)) % 0.16/0.36 (define @t45 () (not @t27)) % 0.16/0.36 (define @t46 () (or @t45 @t44 @t22)) % 0.16/0.36 (define @t47 () (not @t46)) % 0.16/0.36 (assume @p1 @t21) % 0.16/0.36 (assume @p2 true) % 0.16/0.36 (step @p3 :rule refl :args (@t22)) % 0.16/0.36 (step @p4 :rule refl :args (@t1)) % 0.16/0.36 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t1 @t22))) % 0.16/0.36 (step @p6 :rule symm :premises (@p5)) % 0.16/0.36 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.16/0.36 (step @p8 :rule refl :args (@t26)) % 0.16/0.36 (step @p9 :rule refl :args (@t27)) % 0.16/0.36 (step @p10 :rule refl :args (@t8)) % 0.16/0.36 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t8 @t27))) % 0.16/0.36 (step @p12 :rule symm :premises (@p11)) % 0.16/0.36 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.16/0.36 (step @p14 :rule refl :args (@t34)) % 0.16/0.36 (step @p15 :rule nary_cong :premises (@p14 @p13 @p8) :args (@t35)) % 0.16/0.36 (step @p16 :rule cong :premises (@p15 @p7) :args (@t36)) % 0.16/0.36 (step @p17 :rule cong :premises (@p16) :args ((not @t36))) % 0.16/0.36 (step @p18 :rule refl :args (@t1)) % 0.16/0.36 (step @p19 :rule refl :args ((tptp.cP @t3))) % 0.16/0.36 (step @p20 :rule refl :args (@t23)) % 0.16/0.36 (step @p21 :rule cong :premises (@p20) :args (@t24)) % 0.16/0.36 (step @p22 :rule trans :premises (@p21 @p19)) % 0.16/0.36 (step @p23 :rule refl :args (tptp.cP)) % 0.16/0.36 (step @p24 :rule ho_cong :premises (@p23 @p20)) % 0.16/0.36 (step @p25 :rule cong :premises (@p24 @p22) :args ((= (_ tptp.cP @t23) @t24))) % 0.16/0.36 (step @p26 :rule symm :premises (@p25)) % 0.16/0.36 (step @p27 :rule refl :args (@t4)) % 0.16/0.36 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 0.16/0.36 (step @p29 :rule refl :args (@t3)) % 0.16/0.36 (step @p30 :rule cong :premises (@p29 @p20) :args ((= @t3 @t23))) % 0.16/0.36 (step @p31 :rule symm :premises (@p30)) % 0.16/0.36 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.16/0.36 (step @p33 :rule ho_cong :premises (@p23 @p32)) % 0.16/0.36 (step @p34 :rule trans :premises (@p33 @p28)) % 0.16/0.36 (step @p35 :rule refl :args (@t25)) % 0.16/0.36 (step @p36 :rule refl :args (@t5)) % 0.16/0.36 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t5 @t25))) % 0.16/0.36 (step @p38 :rule symm :premises (@p37)) % 0.16/0.36 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.16/0.36 (step @p40 :rule cong :premises (@p39) :args (@t37)) % 0.16/0.36 (step @p41 :rule nary_cong :premises (@p40 @p34) :args (@t38)) % 0.16/0.36 (step @p42 :rule cong :premises (@p41) :args ((forall @t6 @t38))) % 0.16/0.36 (step @p43 :rule bool-impl-elim :args (@t5 @t4)) % 0.16/0.36 (step @p44 :rule cong :premises (@p43) :args (@t7)) % 0.16/0.36 (step @p45 :rule trans :premises (@p44 @p42)) % 0.16/0.36 (step @p46 :rule refl :args (@t8)) % 0.16/0.37 (step @p47 :rule refl :args (@t28)) % 0.16/0.37 (step @p48 :rule refl :args (@t10)) % 0.16/0.37 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t10 @t28))) % 0.16/0.37 (step @p50 :rule symm :premises (@p49)) % 0.16/0.37 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.16/0.37 (step @p52 :rule refl :args (@t32)) % 0.16/0.37 (step @p53 :rule refl :args (@t33)) % 0.16/0.37 (step @p54 :rule refl :args (@t14)) % 0.16/0.37 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t14 @t33))) % 0.16/0.37 (step @p56 :rule symm :premises (@p55)) % 0.16/0.37 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.16/0.37 (step @p58 :rule cong :premises (@p57) :args (@t39)) % 0.16/0.37 (step @p59 :rule nary_cong :premises (@p58 @p52 @p51) :args (@t40)) % 0.16/0.37 (step @p60 :rule cong :premises (@p59) :args ((forall @t17 @t40))) % 0.16/0.37 (step @p61 :rule aci_norm :args ((= (or (or @t39 @t32) @t10) @t40))) % 0.16/0.37 (step @p62 :rule bool-and-de-morgan :args (@t14 @t31 true)) % 0.16/0.37 (step @p63 :rule nary_cong :premises (@p62 @p48) :args ((or (not @t41) @t10))) % 0.16/0.37 (step @p64 :rule trans :premises (@p63 @p61)) % 0.16/0.37 (step @p65 :rule bool-impl-elim :args (@t41 @t10)) % 0.16/0.37 (step @p66 :rule trans :premises (@p65 @p64)) % 0.16/0.37 (step @p67 :rule cong :premises (@p66) :args ((forall @t17 (=> @t41 @t10)))) % 0.16/0.37 (step @p68 :rule trans :premises (@p67 @p60)) % 0.16/0.37 (step @p69 :rule refl :args (@t10)) % 0.16/0.37 (step @p70 :rule refl :args ((_ @t9 @t3))) % 0.16/0.37 (step @p71 :rule cong :premises (@p20) :args (@t29)) % 0.16/0.37 (step @p72 :rule trans :premises (@p71 @p70)) % 0.16/0.37 (step @p73 :rule refl :args (@t9)) % 0.16/0.37 (step @p74 :rule ho_cong :premises (@p73 @p20)) % 0.16/0.37 (step @p75 :rule cong :premises (@p74 @p72) :args ((= (_ @t9 @t23) @t29))) % 0.16/0.37 (step @p76 :rule symm :premises (@p75)) % 0.16/0.37 (step @p77 :rule refl :args (@t11)) % 0.16/0.37 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.16/0.37 (step @p79 :rule ho_cong :premises (@p73 @p32)) % 0.16/0.37 (step @p80 :rule trans :premises (@p79 @p78)) % 0.16/0.37 (step @p81 :rule refl :args (@t30)) % 0.16/0.37 (step @p82 :rule refl :args (@t12)) % 0.16/0.37 (step @p83 :rule cong :premises (@p82 @p81) :args ((= @t12 @t30))) % 0.16/0.37 (step @p84 :rule symm :premises (@p83)) % 0.16/0.37 (step @p85 :rule eq_resolve :premises (@p82 @p84)) % 0.16/0.37 (step @p86 :rule cong :premises (@p85) :args (@t42)) % 0.16/0.37 (step @p87 :rule nary_cong :premises (@p86 @p80) :args (@t43)) % 0.16/0.37 (step @p88 :rule cong :premises (@p87) :args ((forall @t6 @t43))) % 0.16/0.37 (step @p89 :rule bool-impl-elim :args (@t12 @t11)) % 0.16/0.37 (step @p90 :rule cong :premises (@p89) :args (@t13)) % 0.16/0.37 (step @p91 :rule trans :premises (@p90 @p88)) % 0.16/0.37 (step @p92 :rule refl :args (@t14)) % 0.16/0.37 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t15)) % 0.16/0.37 (step @p94 :rule cong :premises (@p93 @p69) :args (@t16)) % 0.16/0.37 (step @p95 :rule cong :premises (@p94) :args (@t18)) % 0.16/0.37 (step @p96 :rule trans :premises (@p95 @p68)) % 0.16/0.37 (step @p97 :rule nary_cong :premises (@p96 @p46 @p45) :args (@t19)) % 0.16/0.37 (step @p98 :rule cong :premises (@p97 @p18) :args (@t20)) % 0.16/0.37 (step @p99 :rule cong :premises (@p98) :args (@t21)) % 0.16/0.37 (step @p100 :rule trans :premises (@p99 @p17)) % 0.16/0.37 (step @p101 :rule eq_resolve :premises (@p1 @p100)) % 0.16/0.37 (step @p102 :rule not_implies_elim1 :premises (@p101)) % 0.16/0.37 (step @p103 :rule and_elim :premises (@p102) :args (0)) % 0.16/0.37 (step @p104 :rule and_elim :premises (@p102) :args (2)) % 0.16/0.37 (step @p105 :rule and_elim :premises (@p102) :args (1)) % 0.16/0.37 (step @p106 :rule not_implies_elim2 :premises (@p101)) % 0.16/0.37 (step @p107 :rule cnf_or_pos :args (@t46)) % 0.16/0.37 (step @p108 :rule reordering :premises (@p107) :args ((or @t22 @t45 @t44 @t47))) % 0.16/0.37 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p105 @p104) :args (@t47 (@list true false false) (@list @t22 @t27 @t26))) % 0.16/0.37 (assume-push @p116 @t34) % 0.16/0.37 (step @p111 :rule instantiate :premises (@p103) :args ((@list tptp.cP))) % 0.16/0.37 (step-pop @p117 :rule scope :premises (@p111)) % 0.16/0.37 (step @p112 :rule process_scope :premises (@p117) :args (@t46)) % 0.16/0.37 (step @p114 :rule implies_elim :premises (@p112)) % 0.16/0.37 (step @p115 false :rule chain_m_resolution :premises (@p114 @p109 @p103) :args (false (@list true false) (@list @t46 @t34))) % 0.16/0.37 ) % 0.16/0.37 % SZS output end Proof % 0.16/0.37 % cvc5 exiting %------------------------------------------------------------------------------